What is the Greatest Common Factor of 11425 and 11438?

Greatest common factor (GCF) of 11425 and 11438 is 1.

GCF(11425,11438) = 1

We will now calculate the prime factors of 11425 and 11438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11425 and 11438.

How to find the GCF of 11425 and 11438?

We will first find the prime factorization of 11425 and 11438. After we will calculate the factors of 11425 and 11438 and find the biggest common factor number .

Step-1: Prime Factorization of 11425

Prime factors of 11425 are 5, 457. Prime factorization of 11425 in exponential form is:

11425 = 5² × 457¹

Step-2: Prime Factorization of 11438

Prime factors of 11438 are 2, 7, 19, 43. Prime factorization of 11438 in exponential form is:

11438 = 2¹ × 7¹ × 19¹ × 43¹

Step-3: Factors of 11425

List of positive integer factors of 11425 that divides 11425 without a remainder.

1, 5, 25, 457, 2285

Step-4: Factors of 11438

List of positive integer factors of 11438 that divides 11425 without a remainder.

1, 2, 7, 14, 19, 38, 43, 86, 133, 266, 301, 602, 817, 1634, 5719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11425 and 11438. The biggest common factor number is the GCF number.
So the greatest common factor 11425 and 11438 is 1.

Also check out the Least Common Multiple of 11425 and 11438